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Finding the Fourth Proportional to 86,001, 128,968.36 and 33,403.56

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Solution

The fourth proportional to 86,001, 128,968.36 and 33,403.56 is: 50,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,001 : 128,968.36 = 33,403.56 : x
  2. Step 2: Convert to fraction form
    86,001/128,968.36 = 33,403.56/x
  3. Step 3: Cross multiply
    86,001x = 128,968.36 × 33,403.56
  4. Step 4: Simplify right side
    86,001x = 4,308,002,351.36
  5. Step 5: Solve for x
    x = 4,308,002,351.36/86,001
  6. Step 6: Final answer
    x = 50,092.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.